Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
726 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 293 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#10625119 | C2 | semidirect |
| 2. #13092900 | C2 | semidirect |
| 3. #13092426 | C2 | semidirect |
| 4. #13092418 | C2 | semidirect |
| 5. #13092413 | C2 | semidirect |
| 6. C2×#10625017 | C2 | semidirect |
| 9. C23×2−1+4 | C4 | semidirect |
| 30. #41×C23 | C2×C4 | semidirect |
| 35. C2×Q8×C23 | C2×C4 | semidirect |
| 103. 2−1+4 | Dic23 | semidirect |
| 121. C23 | #2898 | semidirect |
| 125. #41 | C2×Dic23 | semidirect |
| 130. C2×Q8 | C2×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625119 | 2 |
| #13092900 | 2 |
| #13092426 | 2 |
| #13092418 | 2 |
| #13092413 | 2 |
| C2×#10625017 | 2 |
| C2×C23×2−1+4 | 2 |
| #2898 | 23 |